Solve for x -5x+5>=160-10x

$- 5 x + 5 \geq 160 - 10 x$

Move all terms containing $x$ to the left side of the inequality.

Add $10 x$ to both sides of the inequality.

$- 5 x + 5 + 10 x \geq 160$

Add $- 5 x$ and $10 x$ .

$5 x + 5 \geq 160$

Move all terms not containing $x$ to the right side of the inequality.

Subtract $5$ from both sides of the inequality.

$5 x \geq 160 - 5$

Subtract $5$ from $160$ .

$5 x \geq 155$

Divide each term in $5 x \geq 155$ by $5$ and simplify.

Divide each term in $5 x \geq 155$ by $5$ .

$\frac{5 x}{5} \geq \frac{155}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} \geq \frac{155}{5}$

Divide $x$ by $1$ .

$x \geq \frac{155}{5}$

Simplify the right side.

Divide $155$ by $5$ .

$x \geq 31$

The result can be shown in multiple forms.

Inequality Form:

$x \geq 31$

Interval Notation:

$[31, \infty)$